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Long Range Order. Ferromagnetism and Antiferromagnetism

  • Richard L. Carlin

Abstract

We now extend the concept of exchange to include interactions through a three- dimensional (3D) crystalline lattice. The interactions themselves are short-ranged, and probably are important only for the first through fourth nearest neighbors, but the effects are observed over large distances in a sample. Transitions to long-range order from the paramagnetic state are characterized both by characteristic specific heat anomalies and by susceptibility behavior quite different from what has been described above. In other words, the transition from the paramagnetic state to a magnetically ordered state with long-range correlations between the magnetic moments is in fact a phase transition.

Keywords

Ising Model Range Order Easy Axis Heisenberg Model Weak Ferromagnetism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Richard L. Carlin
    • 1
  1. 1.Department of ChemistryUniversity of Illinois at ChicagoChicagoUSA

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